一类非线性薛定谔方程组无穷多解的存在性

讨论了一类非线性薛定谔方程组无穷多解的存在性.在假设的V(x),b(x),f(x)条件下,通过减弱喷泉定理的条件,运用变形的喷泉定理,证明了相关方程组的无穷多解的存在性.较扰动方法更加简捷.     

Existence and Concentration of Ground States of Coupled Nonlinear Schr¨odinger Equations with Bounded Potentials

A 2-coupled nonlinear Schrbdinger equations with bounded varying potentials and strongly attractive interactions is considered. When the attractive interaction is strong enough, the existence of a ground state for sufficiently small Planck constant is proved. As the Planck constant approaches zero, it is proved that one of the components concentrates at a minimum point of the ground state energy function which is defined in Section 4.     

Cu2O-Ag Tandem Catalysts for Selective Electrochemical Reduction of CO2 to C2 Products

The electrochemical carbon dioxide reduction reaction (CO₂RR) to C₂ chemicals has received great attention. Here, we report the cuprous oxide (Cu₂O) nanocubes cooperated with silver (Ag) nanoparticles via the replacement reaction for a synergetic CO₂RR. The Cu₂O-Ag tandem catalyst exhibits an impressive Faradaic efficiency (FE) of 72.85% for C₂ products with a partial current density of 243.32 mA·cm⁻². The electrochemical experiments and density functional theory (DFT) calculations reveal that the introduction of Ag improves the intermediate CO concentration on the catalyst surface and meanwhile reduces the C-C coupling reaction barrier energy, which is favorable for the synthesis of C₂ products.     

Efficient photocatalytic hydrogen evolution over hydrogenated ZnO nanorod arrays

Hydrogenated ZnO nanorod arrays (NRAs) grown on F-doped SnO(2) (FTO) glass substrates yield a benchmark specific hydrogen production rate of 122,500 μmol h(-1) g(-1), and exhibit excellent stability and recyclability.     

行波管放大器的非线性混沌特性

以一组非线性方程为基础,从混沌动力学角度,通过计算电子的相空间轨道和辐射场的时空分布图谱,简要分析了行波管放大器的时空混沌特性,计算了行波管输出功率的演化。计算结果表明:行波管放大器辐射场与电子束是一个非线性相互作用的耗散系统,其参数影响整个系统的行为演化,当电流和失谐量等参数变化并超过一定阈值时,系统出现时空混沌特性,输出具有连续的宽频谱性。     

Oxygen vacancies enable the visible light photoactivity of chromium-implanted TiO_2 nanowires

Although computational studies have demonstrated that metal ion doping can effectively narrow the bandgap of TiO₂,the visible-light photoactivity of metal-doped TiO₂ photoanodes is still far from satisfactory.Herein,we report an effective strategy to activate the visible-light photoactivity of chromiumimplanted TiO₂ via the incorporation of oxygen vacancies.The chromium-doped TiO₂ activated by oxygen vacancies(Cr-TiO₂-vac)exhibited an incident photon-to-electron conversion efficiency(IPCE)of~6.8%at450 nm,which is one of the best values reported for metal-doped TiO₂.Moreover,Cr-TiO₂-vac showed no obvious photocurrent decay after 100 h under visible-light illumination.     

C60和C70混合物甲苯溶液的吸收光谱及荧光光谱研究

测量了C_(60)和C_(70)混合物甲苯溶液的吸收光谱和荧光光谱.采用调QYAG激光器输出的倍频光(532nm)作为激发光,在670nm和695nm附近测量到了C_(60)和C_(70)混合物甲苯溶液的两个荧光峰,这些荧光峰有可能是由C_(70)分子产生的.